Respuesta :
The sum of the first 10 terms of the geometric sequence is given by: 1,048,575.
What is a geometric sequence?
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
The sum of the first n terms is given by:
[tex]S_n = \frac{a_1(1 - q^n)}{1 - q}, q \neq 1[/tex]
For this problem, the parameters are given as follows:
a1 = 3, q = 4, n = 10.
Hence the sum is given by:
[tex]S_{10} = 3\frac{1 - 4^10}{1 - 4} = 1,048,575[/tex]
More can be learned about geometric sequences at https://brainly.com/question/11847927
#SPJ1
